| 时-空分数阶扩散方程的同伦近似解 |
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| 引用本文： | 谭璐芸.时-空分数阶扩散方程的同伦近似解[J].延安大学学报(自然科学版),2014(2):6-9. |
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| 作者姓名： | 谭璐芸 |
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| 作者单位： | 铁岭师范高等专科学校师范学院,辽宁铁岭112000 |
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| 摘 要： | 利用同伦分析方法,研究了具有初值条件的空间二维时空分数阶扩散方程.从问题本身考虑,通过构造同伦方程,合理选择辅助参数,获得了在较大范围内收敛的级数解析解.数值实验结果证明,该法在求解分数阶偏微分方程的近似解析解方面的有效性和优越性.
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| 关 键 词： | 分数阶偏微分方程 同伦分析方法 近似解 |
Approximate Solutions of Time-Space Fractional Diffusion Equation By Homotopy Analysis Method |
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| TAN Lu-yun.Approximate Solutions of Time-Space Fractional Diffusion Equation By Homotopy Analysis Method[J].Journal of Yan'an University(Natural Science Edition),2014(2):6-9. |
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| Authors: | TAN Lu-yun |
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| Institution: | TAN Lu-yun ( Teachers College, Tieling Normal College, Tieling 112000, China) |
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| Abstract: | The homotopy analysis method is applied to study the two - dimensional time - space fractional diffusion equation with initial conditions. By constructing homotopy equation and by a reasonable choice of auxiliary parameters, the analytical solutions of a wide range of convergent series are obtained. Numerical results show that this method is effective and superior in solving partial differential equations of fractional. |
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| Keywords: | time -space fractional diffusion equation Homotopy perturbation method approximate solutions solution |
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